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This study aims to show the performances that one can expect from this association in the context of cloud radio access network (C\u2010RAN). Different decoding algorithms have been studied over additive white Gaussian noise channel. Hard\u2010decision algorithm of Gradient descent bit flipping (GDBF) is finally chosen since it represents the best trade\u2010off between the complexity of decoder and the performance. Furthermore, the authors show that a small 2\u2010bit quantification is sufficient, which can increase the data rate and decrease the latency of decoder in comparison with a more complex ADs. The same performance of floating point GDBF is achieved by using the new algorithm Balanced Weighted GDBF (BWGDBF) with 2\u2010bit quantification. Finally, the authors have succeeded to implement BWGDBF algorithm on the FPGA Spartan 6 xc6slx16. 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